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Application of space geometry?
Space geometry is widely used, covering almost all modern frontier fields.

As far as I know, it is an important research tool for several branches of physics.

The establishment and analysis of models in mechanical manufacturing and design.

In aerospace engineering, the dynamics and stability of the studied model are analyzed.

And the spatial geometric image analysis of polymer compounds.

The dynamic system of gyroscope in navigation system is also analyzed.

It is also applied to the dynamic analysis of star models in astrophysics.

However, these are only relatively simple applications (advanced geometry involves some advanced geometry, which requires knowledge reserves to deepen its application, and less involves frontier industries, mostly for theoretical research)

I suggest that when you write a research paper, you can explain the application of a certain field thoroughly.